What is \sqrt[5]{\sqrt[3]{2y}} ?

The solution to \sqrt[5]{\sqrt[3]{2y}} is \sqrt[15]{2}\sqrt[15]{y}

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simplify \sqrt[5]{\sqrt[3]{2y}}

simplify

Solution steps

Apply radical rule:

= ((2 y)^{\frac{1}{3}})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (2 y)^{\frac{1}{3} \cdot \frac{1}{5}}

\frac{1}{3} \cdot \frac{1}{5} = \frac{1}{15}

= (2 y)^{\frac{1}{15}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

2^{- 2}

- 13 x^{3} y^{3}

4^{- 2 (\frac{l n ( 3 )}{2 l n ( 2 )})}

e^{- 0.5 x^{2}}

\frac{( x - 4 ) ( x + 3 )}{x - 2}

What is \sqrt[5]{\sqrt[3]{2y}} ?
The solution to \sqrt[5]{\sqrt[3]{2y}} is \sqrt[15]{2}\sqrt[15]{y}